The augmented tridiagonal algebra

フォーマット:

論文

責任表示:

Ito, Tatsuro ; Terwillinger, Paul

言語:

英語

出版情報:

九州大学大学院数理学研究院 = Faculty of Mathematics, Kyushu University, 2010-06-22

著者名:

• Ito, Tatsuro
• Terwillinger, Paul

掲載情報:

Kyushu Journal of Mathematics

ISSN:

1340-6116      

巻:

64

通号:

1

開始ページ:

81

終了ページ:

144

バージョン:

publisher

概要:

金沢大学理工研究域数物科学系<br />Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra Tq. This is an infinite-dimensional associative C-algebra with 1. We classify the finit … e-dimensional irreducible representations of Tq.All such representations are explicitly constructed via embeddings of Tq into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs over C are classified in the case where q is not a root of unity. © 2010 Faculty of Mathematics, Kyushu University. 続きを見る

URL:

http://hdl.handle.net/2297/25168